Finding the Third Proportional to 86,772 and 189,456

Step by Step Solution

1. Step 1: Write the proportion equation
   86,772 : 189,456 = 189,456 : x
2. Step 2: Convert to fraction form
   86,772/189,456 = 189,456/x
3. Step 3: Cross multiply
   86,772x = 189,456 × 189,456
4. Step 4: Simplify right side
   86,772x = 35,893,575,936
5. Step 5: Solve for x
   x = 35,893,575,936/86,772
6. Step 6: Final answer
   x = 413,653.90